Define and prove that
where θ is the angle between
and
Cross Product: The vector or cross product of two non-zero vectors and
, denoted by
, is defined as
where θ is the angle between and
, 0≤θ≤π and
is a unit vector perpendicular to both
and
, such that
,
and
form a right handed system.
We have
is a unit vector
But, we have the dot product of two vectors and
forming an angle θ as
Now, we divide these two equations.
Thus,